R15.1

Statistics

genus c	15, orientable
Schläfli formula c	{3,9}
V / F / E c	56 / 168 / 252
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	36, each with 14 edges 56, each with 9 edges 28, each with 18 edges 72, each with 7 edges 28, each with 18 edges 72, each with 7 edges 36, each with 14 edges
rotational symmetry group	PSL(2,8), with 504 elements
full symmetry group	1008 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s‑9, s2rs‑4r‑1s2r‑1s4r‑1s  >
C&D number c	R15.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R15.1′.

Its Petrie dual is N162.13′.

Its 2-hole derivative is R71.15′.
Its 4-hole derivative is R63.7.

List of regular maps in orientable genus 15.

Other Regular Maps

General Index